We look at the division of 271108 by 3 
Let's see how many times 3 fits into 271108.

Let's proceed to step 1:
3 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 3

Advancing to step 2:
3 goes into 27 9 times with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 27 from 27 to get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 3

Going ahead to step 3:
3 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Moving on to step 4:
If we divide 11 by 3, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 903.0
If we take 9 away from 11, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 3

Moving on to step 5:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 9036.0
If we take 18 away from 20, we end up with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Step 6:
3 goes into 28 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 90369.0
If we take 27 away from 28, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 90369.3
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 90369.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 90369.33 with a balance of 0.001.